Weight enumerators of all cubic-primitive irreducible cyclic codes of odd prime power length

被引：0

作者：

Bishnoi, Monika ^{[1
,2
]}

Kumar, Pankaj ^{[1
]}

机构：

[1] Guru Jambheshwar Univ Sci & Technol, Dept Math, Hisar 125001, Haryana, India

[2] CRM Jat Coll, Hisar 125001, Haryana, India

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2024年 / 93卷

关键词：

Cyclic code; Minimum distance; Weight enumerator; Weight distribution; DISTRIBUTIONS;

D O I：

10.1016/j.ffa.2023.102334

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let p and q be odd primes and q be a cubic primitive modulo pu for some positive integer u. In this paper, we prove that the solutions of some Diophantine equations provide the weight enumerators of some cubic primitive irreducible cyclic codes of prime length. Bounds on the minimum distances of these codes are also given. (c) 2023 Elsevier Inc. All rights reserved.

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页数：21

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